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## Quiz of the Month (October 2007)

### Hector C. Parr

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#### SOLUTION TO LAST MONTH'S QUIZ

```  1.  720
2.  1/6
3.  2/3```

Notes.

Q.1. 6*5*4*3*2*1 = 720

Q.3. Of the first four candidates, the best among them is equally likely to be number 1, 2, 3 or 4.
So of the 720 (equi-probable) permutations of all six, the number in which the fourth is the best so far = 720/4 = 180.
Of these, the number in which the fourth is best overall = 720/6 = 120.

So the required probability = 120/180 = 2/3.

#### THIS MONTH'S QUIZ

1. Next year Andrew will be twice as old as he was five years ago. How old is he now?

2. Last year Betty's father was five times a old as Betty was then. Next year her father will be four times as old as Betty is then. How old is Betty now?

3. Charlie is as old as Don was when Charlie was as old as Don had been when Charlie was half as old as Don is now. Their present ages add up to 44. How old is Charlie now?

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